GENERAL46230

• Permit No: C1981016
• IBM Index Class Name: General Documents
• Doc Date: 5/6/1981
• Doc Name: MEMO
• Permit Index Doc Type: GENERAL CORRESPONDENCE
• Media Type: D
• Archive: No

•j-~~~" --'~ _
•
'
•-
l .6( eJ-\t
Ol r
.l
A]al
Y
ter:
u _
rt.\.Itl
;
.tualt a 1
u1 t .
.
.
.
n
.
,

` ^ >
~I
:~
.:1 . C -_
. - -`~' -
- - .n4
- L?~'
:ir M 1
- -
~: -
~. i~ ~ -
I ~ ~ - ~ ~ Ti.gn~ C'inar -...
- ":Tor cirtlr - - - . _ rr „•. [''i= .. _ : c _...
.~~ .~8 - '~ - - - - - .... - ~.c..: :4fi)
~ _ - ~ 161 - .. - ..
- .

-
,
i, ~~
~ ,
;
1
I ,
... ,

'
1 ~~~.
f - I `- I ..... ._~ L' .. .. I ~^~V
.
. )fiJpnint i~irrlr ~-
- -
.
,
~ 3 L 7 ~ pn of fiilufe >w C1cr. _
>,
.
-
~tyr FJ'- :n• lin• 5t1• ~au• an' 9n' ul' n• -
_
_ _ ,; .. . ;: - . ' - 8
~ the 101: circle. II .3 i> lei> th:ul ~3 Jc_, the t) pe 01 Glilurc del+cnd> 0n l!:e a!c;
... .- ~
.,. ~ .... ~. , - ' ~. - ~ '. .-
! ~ ~ . I;la:mr n,,..Failure nlay occur al0ilg the il0pc,circle ar mid; 0inl cu.:e ai u:
Alter Tn t.lghi ~ - ~ ~ ~
Pi4. +:.1. ti1.11•i'It. numhrl,. ~ :u the toe circ!r. failure 0ccul> e!0n; the mial l+oint cir.'!e u!len rt. e\ceea:+
;mJ Peek 1I•la~l. - _ ~ 1\c no\c intnlJucc a >li;htl~ dillelent .q\l\r0ach. lil>;e:.! a' ::>Sing a°..
- ~ ~ ~ - I ~ ~ i> the Jen>i[) or l0;la! at Iailurc, ai i> alone in the brlrin_-c.loaciq pnlh'::~
1 ~ - - - ~
~ KC :b {: IIUR' el0>C q J '!1\Cn ]I0I1c lU I:IIIIIrC. IIIC I1 r1`pefllei Ol IIIC f!llie::_
... ~ .~ .,~. ~ .~. .
~.:. ~ hein_ Lnuien. It i> eyui~alent to a cunlp.lrii0n of t!le iae,lr siren Vn ;`..
\ariuw calue> of p. ai >hlnen iu ~
::r.\e> :Ire e.m>tructcd r:Ialin_ 1', W .1 for p1\ICllllal lalhlfC inflaCl• under the eicen condition, al the >!lear sircs>a .:•
_
,.. '~,_~,
_ ~. ~ I:IIIll1'c, Nllle!1 I$ CgUaI fa) 1110 $If CII _111 all L11C Ill:llel'1:1I. The fall lal alt !~1C i!tC."
~ ~
-;\ l'a'f t' eJllllll Ull a:aie ul I1JnI1 Jill O_enCll)' li Ihal ul a \'Cf}' >llli I11:IIC rl:11 illCn_lh lJ Qlt ]Ilrar $IrCU Ulldef ~I\'CII eQlld llllln>, li C3!!Ca! IIIC ltl[fbi .

~
v.lled JI a depth 11.,11 hrl0\\. the top al the >lopc (Fi;:. ~ 'i). Thii puiei a ~ ~ suJrn• F„ or
~ •, -
7
,I ,
'_r!r!a ll all Jn !hC Ialhlre >1I11aCe. :I$ Il ~allnOl pC ^elfa le IIIC ih li I11a lC rla 1. I11 _ ~~

~
~ F, _ ~~ ~. lu
1.
-~ ::>.connection K~c >hould define the dilTertnt apes ~of failure wrfas. They ~-
~ f
~ - -
~ V.'h la:h pa>$e> IhfOU Lh the lOe (FIg.~S.'i(a,)1; IIIC SIOpe Clfi le
'= IhC IOd Clfele
~ ~~ II Con :IIsO be cUnSldefed a5 the fallU Uf IIIC IO:Id al IalhlrC tJ fht EI\[n !J3~
,
,
.
~
..+::Ieh InlCr ia'l'fi the slope aI >Onffi paini abort the toe ;Fig. S'S(G),; and the ~. Ta l'Valuele IIIC fall Uf 0f ialely fuf 8 g1VC^ $IUpC, \VC first detainine the
•.s!point circle ~\li0>e center lia 0n a ctrtical line that panes Through the par:uueten r; !I, and y at failurt. Thii can be aiblained from Fi_i. 3.3a .
•:wp0int ni the >lope i Fig. S 'S(r);. Cakulationi shu\\' [hat for all \ aluei of p 8?6 in-dleYonu of the stability number .\', fur the eicen >lupe ante d ar
r_.nu dlan 3 deg, the critical circlei art all toe circles. If the \•aluc of q is :Ingle of friction p.'For the given I/ and r,'we can calculate b
9. (5.:
• '.ae w or el{ual to 0, the position of the critical circle and the Stability what y Should be in order al yield thi> particular Stability number. Thii i.
) ••::her is inlluenceJ hp the diimnx w the stitT bottom. The stability numbers the ealue that K'ould fCSIIII In falhlfe Uf.II1C ilope N'I[h IhC _IYCO \'alueS of:
'.' !!:C l\ pei of la111lfei ai dCl Cfmin[d b}' the UfChl'aI anal)SU aft ihUR'O In ~ ~ . ¢, II, and jf. The f:ICIOf Jf $afel~' U IIICII IIIC fall0 Of lhi y ret)nlfCd lalf f11!l:f^
' ` 'b 'I ~." :III ilopCS la'I(h 0n^!C .~ lar2ef Ihan ~) der
falltlrC OiC'Lf5 alum tU the glctn y. ~ '
,
•